09/02/2016 Celtic Knot Patterns 3 Maths Today we will explore and mathematically describe border patterns. Big Idea: Maths and Graphic Design

4-space primary grid 2-space primary grid 1-space primary grid

Primary Grid – 2 space

Secondary Grid – 2 space

Tertiary Grid – 2 space

Weave

What are the dimensions of the primary grids? 2 x 4 Breaklines What could be happening within the grids to cause this effect? A Celtic mystery... Same dimensions – two different knots

Primary Grid – 2 space

Secondary Grid – 2 space

Tertiary Grid – 2 space

Breaklines – 2 space

Weave with breaklines

Knots Primary squares n n + 1 Border patterns – 2 x 11

Knots Primary squares 1235n n + 1 Border patterns – 2 x 10

Knots Primary squares n n + 1 Border patterns – 2 x 11

Knots Primary squares 12347n n Border patterns – 3 x 12